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Study sets matching "chapter 6 geometry vocab similarity"

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Study sets matching "chapter 6 geometry vocab similarity"

11 terms
Geometry Final: Chapter 6 - Similarity
Ratio
Proportion
Similar Polygons
Scale Factor
A comparison of two quantities
Equation stating that two ratios are equal. You solve a propo…
Polygons that are the same shape but different sizes
Ratio comparing the lengths of corresponding sides of similar…
Ratio
A comparison of two quantities
Proportion
Equation stating that two ratios are equal. You solve a propo…
Geometry Chapter 6: Similarity
Similar Polygons
Scale Factor
Two polygons are similar if the corres…
Two polygons are similar if the corres…
2 Polygons are similar if corresponding angles are congruent…
If 2 polygons are similar, then the ratio of the lengths of t…
Congruent
Similar
Similar Polygons
2 Polygons are similar if corresponding angles are congruent…
Scale Factor
If 2 polygons are similar, then the ratio of the lengths of t…
10 terms
Geometry Chapter 6- Similarity
Ratio
Proportion
Similar polygons
Scale Factor
a comparison of 2 quantities
equation stating that 2 ratios are equal, solved by cross-mul…
polygons that are the same shape, but different sizes
ratio comparing the lengths of corresponding sizes of similar…
Ratio
a comparison of 2 quantities
Proportion
equation stating that 2 ratios are equal, solved by cross-mul…
20 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
20 terms
Geometry Chapter 6
triangle
quadrilateral
pentagon
hexagon
a three-sided polygon
a four-sided polygon
a five-sided polygon
a six-sided polygon
triangle
a three-sided polygon
quadrilateral
a four-sided polygon
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
10 terms
Geometry Chapter 7 Similarity
ratio
proportion
similar
scale factor
The ____ of one number to another is the quotient when the fi…
A _____ is an equation stating that two ratios are equal. (ex…
Two polygons are ____ if their vertices can be paired so that…
If two polygons are similar, then the ratio of the lengths of…
ratio
The ____ of one number to another is the quotient when the fi…
proportion
A _____ is an equation stating that two ratios are equal. (ex…
10 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
14 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Scale Factor
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
The common ratio of the lengths of two corresponding sides of…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
9 terms
Geometry Chapter 7: Similarity Vocabulary
7.1 similar (∼)
7.1 similar polygons
7.1 similarity ratio
7.2 similarity transformation
figures that have the same shape but not necessarily the same…
two polygons with corresponding angles that are congruent and…
the ratio of the lengths of the corresponding sides of two si…
a dilation or a composite of one or more dilations and one or…
7.1 similar (∼)
figures that have the same shape but not necessarily the same…
7.1 similar polygons
two polygons with corresponding angles that are congruent and…
11 terms
Geometry Chapter 7 Similarity
ratio
proportion
similar
scale factor
The ____ of one number to another is the quotient when the fi…
A _____ is an equation stating that two ratios are equal. (ex…
Two polygons are ____ if their vertices can be paired so that…
If two polygons are similar, then the ratio of the lengths of…
ratio
The ____ of one number to another is the quotient when the fi…
proportion
A _____ is an equation stating that two ratios are equal. (ex…
23 terms
Chapter 6 Geometry McDougal Littel (Similarity)
Ratio
Extended ratios
Proportion
Means
The comparison of two numbers using division; the ratio of a…
Ratios that compare more than 2 values; example: ratios of th…
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
Ratio
The comparison of two numbers using division; the ratio of a…
Extended ratios
Ratios that compare more than 2 values; example: ratios of th…
20 terms
Geometry Chapter 6 Similar Triangles
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
10 terms
Chapter 7 Geometry Similarity & Trigonometry Vocabulary
Sine
Cosine
Tangent
Adjacent Leg
= Opposite / Hypotenuse
is adjacent next to the theta angle
Sine
= Opposite / Hypotenuse
Cosine
11 terms
Geometry Chapter 7 - Similarity
ratio
proportion
means of a proportion
extremes of a proportion
is a comparison of two numbers and can be written in three di…
An equation stating that two ratios are equal
In the proportion a/b = c/d, b and c are the means
In the proportion a/b = c/d, a and d are the extremes
ratio
is a comparison of two numbers and can be written in three di…
proportion
An equation stating that two ratios are equal
10 terms
Chapter 6 - Similarity
ratio
proportion
geometric mean
scale
a comparison if two numbers using division
an equation that states that two ratios are equal
for two positive number (a & B) the positive number x that sa…
a ratio that describes how the dimensions in a scale drawing…
ratio
a comparison if two numbers using division
proportion
an equation that states that two ratios are equal
9 terms
Chapter 6 Similarity
Reciprocal Property
perimeters of similar polygons
Angle-Angle Similarity Postulate
Side Side Side Similarity Theorem
If two ratios are equal, then their reciprocals are also equal
if two polygons are similar, them the ratio of their perimete…
If two angles of one triangle are congruent to two angles of…
If the corresponding side lengths of two triangles are propor…
Reciprocal Property
If two ratios are equal, then their reciprocals are also equal
perimeters of similar polygons
if two polygons are similar, them the ratio of their perimete…
38 terms
Geometry Chapter 6 Vocabulary
Quadrilateral
Triangle
Pentagon
Hexagon
A four sided polygon
a three sided polygon
a five sided polygon
a six sided polygon
Quadrilateral
A four sided polygon
Triangle
a three sided polygon
17 terms
Geometry Chapter 6 Vocabulary
Regular Polygon
Parallelogram
Rectangle
Rhombus
a polygon with all sides and all angles equal
a quadrilateral with both pairs of opposite sides parallel
A parallelogram with four right angles
A parallelogram with four equal sides
Regular Polygon
a polygon with all sides and all angles equal
Parallelogram
a quadrilateral with both pairs of opposite sides parallel
12 terms
Geometry Unit 6 Similarity
Scale Drawing
Scale
Proportion
Similar Polygons
a drawing that is the same shape as the object it represents…
A ratio that describes how the dimensions in the drawing are…
Two ratios that are equal
A set of polygons where corresponding angles are congruent an…
Scale Drawing
a drawing that is the same shape as the object it represents…
Scale
A ratio that describes how the dimensions in the drawing are…
38 terms
Geometry Chapter 6 Vocabulary
Quadrilateral
Triangle
Pentagon
Hexagon
A four sided polygon
a three sided polygon
a five sided polygon
a six sided polygon
Quadrilateral
A four sided polygon
Triangle
a three sided polygon
14 terms
Geometry Chapter 7 - Similarity
ratio
proportion
means of a proportion
extremes of a proportion
is a comparison of two numbers and can be written in three di…
An equation stating that two ratios are equal
In the proportion a/b = c/d, b and c are the means
In the proportion a/b = c/d, a and d are the extremes
ratio
is a comparison of two numbers and can be written in three di…
proportion
An equation stating that two ratios are equal
18 terms
Chapter 6 - Similarity
Proportion
What values are the extremes and means?
Cross product property
Geometric mean
Equation states 2 ratios are equal
a & d extremes whereas c & b are means
product extremes = product means
x = square root ab and a/x = x/b
Proportion
Equation states 2 ratios are equal
What values are the extremes and means?
a & d extremes whereas c & b are means
22 terms
Geometry - Chapter 7 - Similarity
Ratio
Proportion
Extremes
Means
The comparison of two quantities by division. (7-1)
An equation that equates two ratios. (7-1)
The first and last term of a proportion. (7-1)
The inner terms of a proportion. (7-1)
Ratio
The comparison of two quantities by division. (7-1)
Proportion
An equation that equates two ratios. (7-1)
Chapter 6 & 7 Geometry Vocabulary
diameter
diagonal
right trapezoid
two-dimensional
a line segment drawn through the center of a circle with both…
a segment that connects any two vertices of the polygon but i…
a trapezoid with exactly two right angles
a figure that lies on a flat surface that has length and width
diameter
a line segment drawn through the center of a circle with both…
diagonal
a segment that connects any two vertices of the polygon but i…
45 terms
Geometry Chapter 6 Vocabulary
side of a polygon
vertex of a polygon
diagonal
regular polygon
segment that forms a polygon
common endpoint of two sides
segment that connects any two non consecutive vertices
equilateral and equiangular polygon
side of a polygon
segment that forms a polygon
vertex of a polygon
common endpoint of two sides
38 terms
Geometry Chapter 6 Vocabulary
Quadrilateral
Triangle
Pentagon
Hexagon
A four sided polygon
a three sided polygon
a five sided polygon
a six sided polygon
Quadrilateral
A four sided polygon
Triangle
a three sided polygon
20 terms
Geometry: Similarity Vocabulary
Angle-Angle Similarity Postulate (AA~…
Side-Side-Side Similarity Theorem (SSS…
Side-Angle-Side Similarity Theorem (SA…
Triangle Proportionality Theorem (Δ Pr…
If two angles of one triangle are congruent to two angles of…
If the three sides of one triangle are proportional to the th…
If two sides of one triangle are proportional to two sides of…
If a line parallel to a side of a triangle intersects the oth…
Angle-Angle Similarity Postulate (AA~…
If two angles of one triangle are congruent to two angles of…
Side-Side-Side Similarity Theorem (SSS…
If the three sides of one triangle are proportional to the th…
32 terms
Chapter 6 & 7 Geometry Vocabulary
diameter
diagonal
right trapezoid
two-dimensional
a line segment drawn through the center of a circle with both…
a segment that connects any two vertices of the polygon but i…
a trapezoid with exactly two right angles
a figure that lies on a flat surface that has length and width
diameter
a line segment drawn through the center of a circle with both…
diagonal
a segment that connects any two vertices of the polygon but i…
12 terms
Geometry: Chapter 6 Vocabulary
Diagonal
Parallelogram
Rhombus
Rectangle
A segment that connects two nonconsecutive vertices.
A quadrilateral with both pairs of opposite side parallel.
A parallelogram with four congruent sides.
A parallelogram with four right angles.
Diagonal
A segment that connects two nonconsecutive vertices.
Parallelogram
A quadrilateral with both pairs of opposite side parallel.
17 terms
Geometry Chapter 6 Vocabulary
Concave
Regular Polygon
Diagonal
Vertex of a Polygon
A polygon in which a diagonal can be drawn such that part of…
A quadrilateral that is both equilateral and equiangular.
A segment connecting two nonconsecutive vertices of a polygon.
The intersection of two sides of the polygon.
Concave
A polygon in which a diagonal can be drawn such that part of…
Regular Polygon
A quadrilateral that is both equilateral and equiangular.
11 terms
Geometry Chapter 6 Vocabulary
Coordinate proof
Equiangular polygon
Equilateral polygon
Isosceles trapezoid
using coordinate geometry and algebra to prove theorems in ge…
a polygon with all angles congruent
a polygon with all sides congruent
a trapezoid with legs that are congruent
Coordinate proof
using coordinate geometry and algebra to prove theorems in ge…
Equiangular polygon
a polygon with all angles congruent
18 terms
Holt Geometry Chapter 6 Vocabulary
concave
convex
isosceles trapezoid
kite
A polygon where part of the diagonal is in the exterior
A polygon where the entire diagonal is in the interior
Trapezoid where the legs are congruent
Quadrilateral with exactly two pairs of consecutive sides
concave
A polygon where part of the diagonal is in the exterior
convex
A polygon where the entire diagonal is in the interior
15 terms
Chapter 6 Geometry Vocabulary
midsegment (6.4)
midpoint (1.3)
perpendicular bisector (6.1)
equidistant (6.1)
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
midsegment (6.4)
Connects the midpoints of two sides in a triangle. It is para…
midpoint (1.3)
A point that divides a segment into two congruent pieces (in…
Geometry Chapter 6 Vocabulary
Square
Square Root
Radical
Right Triangle
The product of multiplying a number by itself
The number that was squared
A number with a square root symbol
A triangle with one right angle
Square
The product of multiplying a number by itself
Square Root
The number that was squared
24 terms
Geometry Chapter 6 Vocabulary
Concurrent Lines
Angle Bisector
Perpendicular Bisector
Median
3 or more lines that intersect at one point
a segment that suts an angle in half
a segment bisector that is also perpendicular to the segment
a segment that joins a vertex of a triangle and the midpoint…
Concurrent Lines
3 or more lines that intersect at one point
Angle Bisector
a segment that suts an angle in half
16 terms
Geometry Chapter 6 Vocabulary
Altitude
angle bisector
base
centroid
A perpendicular segment in which one endpoint is a vertex of…
A ray whose endpoint is the vertex and is located in the inte…
The side opposite the vertex angle
The point of intersection of the 3 medians of a triangle
Altitude
A perpendicular segment in which one endpoint is a vertex of…
angle bisector
A ray whose endpoint is the vertex and is located in the inte…
12 terms
Geometry Chapter 6 Vocabulary
Diagonal
Parallelogram
Rectangle
Rhombus
A segment that connects any two nonconsecutive verticies.
A quadrilateral with both pairs of opposite sides parallel.
A parallelogram with four right angles.
A parallelogram with all four sides congruent.
Diagonal
A segment that connects any two nonconsecutive verticies.
Parallelogram
A quadrilateral with both pairs of opposite sides parallel.
13 terms
chapter 6 geometry vocabulary
Polygon
Sides
Consecutive vertices
Diagonal
a plane figure that is formed by three or more segments
segment of a pdygon
two vertices that are endpoint of the same sides
a segment that joins two nonconsecutive vertices of a polygon…
Polygon
a plane figure that is formed by three or more segments
Sides
segment of a pdygon
12 terms
Geometry Chapter 6 Vocabulary
base
base angle
diagonal
isosceles trapezoid
...
...
...
...
base
...
base angle
...
21 terms
Chapter6 Vocabulary Geometry
concave
convex
decagon
Hexagon
polygon will always have an interior angle with a measure tha…
all interior angles are less than or equal to 180 degrees
10 sided
6sided
concave
polygon will always have an interior angle with a measure tha…
convex
all interior angles are less than or equal to 180 degrees
17 terms
Chapter 6 Geometry Vocabulary
base of a trapezoid
base angle of a trapezoid
concave polygon
convex polygon
one of the two parallel sides of the trapezoid.
one of a pair of consecutive angles whose common side is a ba…
a polygon in which a diagonal can be drawn such that part of…
a polygon in which no diagonal contains points in the exterio…
base of a trapezoid
one of the two parallel sides of the trapezoid.
base angle of a trapezoid
one of a pair of consecutive angles whose common side is a ba…
12 terms
Geometry Chapter 6 Vocabulary
parallelogram
rhombus
rectangle
square
a quadrilateral with both pair of opposite sides parallel
a parallelogram with four congruent sides
a parallelogram with four right angles
a parallelogram with four congruent sides and four right angles
parallelogram
a quadrilateral with both pair of opposite sides parallel
rhombus
a parallelogram with four congruent sides
26 terms
Geometry Concepts and Skills Chapter 6 Vocabulary
polygon
vertex of a polygon
consecutive vertices
diagonal
A closed plane figure formed by three or more line segments t…
the point where two sides of a polygon meet
two vertices that are endpoints of the same side of a polygon
A line segment connecting non-adjacent nonconsecutive vertice…
polygon
A closed plane figure formed by three or more line segments t…
vertex of a polygon
the point where two sides of a polygon meet
32 terms
Grade 10 Geometry Chapter 7 Proportions and Similarity
Ratio
Extended Ratios
Proportion
Extremes and Means
A comparison of two quantities using division.... Ex. a:b
Used to compare three or more quantities.... Ex. a:b:c
An equation stating that two ratios are equal.
Ratio
A comparison of two quantities using division.... Ex. a:b
Extended Ratios
Used to compare three or more quantities.... Ex. a:b:c
35 terms
Geometry Chapter 6 Vocabulary
Polygon Angle-Sum Theorem
Corollary to the Polygon Angle-Sum The…
Polygon Exterior Angle-Sum Theorem
parallelogram
the sum of the measures of a n-gon is (n-2)180
the measure of each interior angle of a regular polygon is (n…
the sum of the measures of the exterior angles of a convex po…
a quadrilateral whose opposite sides are both parallel and eq…
Polygon Angle-Sum Theorem
the sum of the measures of a n-gon is (n-2)180
Corollary to the Polygon Angle-Sum The…
the measure of each interior angle of a regular polygon is (n…
15 terms
Chapter 6 Vocabulary Geometry
Midsegment
Midpoint
Perpendicular Bisector
Equidistant
connects the midpoint of two sides in a triangle. It is paral…
a point that divides a segment into congruent pieces (in half)
a line that is perpendicular to a segment at its midpoint (cu…
the same distance
Midsegment
connects the midpoint of two sides in a triangle. It is paral…
Midpoint
a point that divides a segment into congruent pieces (in half)
15 terms
Geometry Chapter 6 Vocabulary
Midsegment (6.4)
Midpoint (1.3)
Perpendicular Bisector (6.1)
Equidistant (6.1)
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance.
Midsegment (6.4)
Connects the midpoints of two sides in a triangle. It is para…
Midpoint (1.3)
A point that divides a segment into two congruent pieces (in…
13 terms
Chapter 7 Similarity Geometry
Ratio
Proportion
Extremes
Means
Compares two numbers by division
Is an equation stating that two ratios are equal
the values a and d,
the values b and c, in the proportion a/b=c/d
Ratio
Compares two numbers by division
Proportion
Is an equation stating that two ratios are equal
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